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We calculate the classic Hall conductivity and mobility of the undoped and doped (or in the gate voltage) graphene as a function of temperature, magnetic field, and carrier concentration. Carrier collisions with defects and acoustic phonons…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 L. A. Falkovsky

The planar Hall effect is a phenomenon that the Hall conductivity emerges perpendicular to the electric field in the presence of an in-plane magnetic field. We investigate the planar Hall effect in two-dimensional metal coupled with higher…

Mesoscale and Nanoscale Physics · Physics 2025-12-19 Motohiko Ezawa

Four-terminal resistances, both longitudinal and diagonal, of a locally gated graphene device are measured in the quantum-Hall (QH) regime. In sharp distinction from previous two-terminal studies [J. R. Williams \textit{et al.}, Science…

Mesoscale and Nanoscale Physics · Physics 2012-03-05 Dong-Keun Ki , Hu-Jong Lee

Stacking graphene sheets forms graphite. Two in-plane vibrational modes of graphite, E1u and E2g(2), are derived from graphene E2g mode, the shifts of which under compression are all considered as results of in-plane bond shortening. Values…

Mesoscale and Nanoscale Physics · Physics 2015-09-30 Y. W. Sun , D. Holec , D. J. Dunstan

Applied magnetic field induces metal - insulator and re-entrant insulator-metal transitions in both graphite and rhombohedral bismuth. The corresponding transition boundaries plotted on the magnetic field - temperature (B - T) plane nearly…

Strongly Correlated Electrons · Physics 2009-11-11 Y. Kopelevich , J. C. Medina Pantoja , R. R. da Silva , S. Moehlecke

We investigate the quantum Hall (QH) states near the charge neutral Dirac point of a high mobility graphene sample in high magnetic fields. We find that the QH states at filling factors $\nu=\pm1$ depend only on the perpendicular component…

Mesoscale and Nanoscale Physics · Physics 2011-11-09 Z. Jiang , Y. Zhang , H. L. Stormer , P. Kim

The reason why the half-integer quantum Hall effect (QHE) is suppressed in graphene grown by chemical vapor deposition (CVD) is unclear. We propose that it might be connected to extended defects in the material and present results for the…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Anders Bergvall , Johan M. Carlsson , Tomas Lofwander

The effects of strain, induced by a Gaussian bump, on the magnetic field dependent transport properties of a graphene Hall bar are investigated. The numerical simulations are performed using both classical and quantum mechanical transport…

Mesoscale and Nanoscale Physics · Physics 2017-01-04 S. P. Milovanovic , F. M. Peeters

Magnetoresistance and Hall coefficient of a graphene layer are investigated in the presence of a tilted magnetic field. We consider the graphene layer is assembled by either another graphene layer or a two-dimensional electron gas (2DEG)…

Materials Science · Physics 2015-06-19 Fariborz Parhizgar , Reza Asgari

The results of the longitudinal and Hall magnetoresistivity measurements in the Shubnikov - de Haas oscillation regime for the HgCdTe/HgTe/HgCdTe heterostructures with a wide (20.3 nm) HgTe quantum well are presented. An anomalous phase…

Superconductivity with transition temperature $T_c=1.7$ K has been reported in bilayer graphene [1,2]. The main factors, which may shed light on the mechanism of the formation of this superconductivity, are the following. Superconductivity…

Superconductivity · Physics 2018-06-22 G. E. Volovik

Twisted double bilayer graphene is a compensated semi-metal near the charge neutrality point with the presence of small electron and hole pockets in its band structure. We show that strong Coulomb attraction between the electrons and holes…

Strongly Correlated Electrons · Physics 2023-07-26 Unmesh Ghorai , Ayan Ghosh , Anindya Das , Rajdeep Sensarma

Details of the electronic band structure in unconventional superconductors are key to the understanding of their fundamental ground state. The potential spin-triplet superconductor UTe$_2$, with $T_\mathrm{c}\approx 2.1\,$K, has attracted…

We numerically study the interplay of band structure, topological invariant and disorder effect in two-dimensional electron system of graphene in a magnetic field. Two \emph{distinct} quantum Hall effect (QHE) regimes exist in the energy…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 D. N. Sheng , L. Sheng , Z. Y. Weng

Quantum oscillations in magnetization or resistivity are a defining feature of metals subject to an external magnetic field. The phenomenon is generally not expected in insulators without a Fermi surface. The observations of quantum…

Mesoscale and Nanoscale Physics · Physics 2025-01-30 Phuong X. Nguyen , Raghav Chaturvedi , Bo Zou , Kenji Watanabe , Takashi Taniguchi , Allan H. MacDonald , Kin Fai Mak , Jie Shan

Magnetism is a prototypical phenomenon of quantum collective state, and has found ubiquitous applications in semiconductor technologies such as dynamic random access memory (DRAM). In conventional materials, it typically arises from the…

Mesoscale and Nanoscale Physics · Physics 2019-11-12 Yongjin Lee , Shi Che , Jairo Velasco , David Tran , Jacopo Baima , Francesco Mauri , Matteo Calandra , Marc Bockrath , Chun Ning Lau

Locally-gated single-layer graphene sheets have unusual discrete energy states inside the potential barrier induced by a finite-width gate. These states are localized outside the Dirac cone of continuum states and are responsible for novel…

Mesoscale and Nanoscale Physics · Physics 2009-03-03 V. A. Yampol'skii , S. S. Apostolov , Z. A. Maizelis , Alex Levchenko , Franco Nori

Graphene on hexagonal boron nitride (hBN) can exhibit a topological phase via mutual crystallographic alignment. Recent measurements of nonlocal resistance ($R_{nl}$) near the secondary Dirac point (SDP) in ballistic graphene/hBN…

Mesoscale and Nanoscale Physics · Physics 2020-12-21 Yang Li , Mario Amado , Timo Hyart , Grzegorz P. Mazur , Jason W. A. Robinson

We report the observation of the quantized Hall effect in suspended graphene probed with a two-terminal lead geometry. The failure of earlier Hall-bar measurements is discussed and attributed to the placement of voltage probes in mesoscopic…

Mesoscale and Nanoscale Physics · Physics 2011-08-22 I. Skachko , X. Du , F. Duerr , A. Luican , D. A. Abanin , L. S. Levitov , E. Y. Andrei

Electric field effect devices based on mesoscopic graphite are fabricated for galvanomagnetic measurements. Strong modulation of magneto-resistance and Hall resistance as a function of gate voltage is observed as sample thickness approaches…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Yuanbo Zhang , Joshua P. Small , Michael E. S. Amori , Philip Kim